A pipe with two layers of insulations of 2 mm each, shown in Figure below, is used to transport a cold fluid at Tc = 10 C and the convection heat transfer coefficient (hc) = 350 W/m2-K . If the inner diameter of the pipe (Di) = 30 mm, and the outer diameter (Do) = 34 mm, and the hot fluid is at Th = 350 K and convection coefficient (hh) = 20 W/mK. Determine: a) The heat gained by the cold fluid per unit tube length if the thermal conductivities of the first (inner) and second (outer) layers are (k) = 0.4 W/m-K and (k2) = 0.2 W/m-K, respectively. (15 points) b) The heat gained by the cold fluid per unit tube length if the outer insulation layer was removed. (10 points) Figure: Heat transfer between hot and cold fluid